A five by five grid is labeled 5 miles on the bottom and 5 miles on the side. One square in the grid is shaded and labeled 17 deer.

Question

Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure.
Answer options with 5 options
A.

27
B.

42
C.

85
D.

170
E.

425

1 answer

Based on the given information, we can assume that the number of deer is proportional to the area of the grid.

The area of the grid is 5 miles * 5 miles = 25 square miles.

Since there are 17 deer in one square of the grid, we can set up a proportion to find the number of deer in the 25 square mile section:

17 deer / 1 square mile = x deer / 25 square miles

Cross multiplying, we get:

17 * 25 = 1 * x

425 = x

Therefore, the answer is option:

E. 425